INTERMEDIATE ALGEBRA, 5th edition, © 2009, by Elayn Martin-Gay

TEXT CONTENTS

Preface xv
Application Index xxv

CHAPTER 1
REAL NUMBERS AND ALGEBRAIC EXPRESSIONS 1
1.1 Tips for Success in Mathematics 2
1.2 Algebraic Expressions and Sets of Numbers 7
1.3 Operations on Real Numbers 17
Integrated Review-Algebraic Expressions
and Operations on Whole Numbers 28
1.4 Properties of Real Numbers 29
Chapter 1 Group Activity 40
Chapter 1 Vocabulary Check 40
Chapter 1 Highlights 41
Chapter 1 Review 43
Chapter 1 Test 45

CHAPTER 2
EQUATIONS, INEQUALITIES, AND PROBLEM SOLVING 46
2.1 Linear Equations in One Variable 47
2.2 An Introduction to Problem Solving 56
2.3 Formulas and Problem Solving 68
2.4 Linear Inequalities and Problem Solving 76
Integrated Review-Linear Equations and Inequalities 87
2.5 Compound Inequalities 88
2.6 Absolute Value Equations 95
2.7 Absolute Value Inequalities 100
Chapter 2 Group Activity 106
Chapter 2 Vocabulary Check 107
Chapter 2 Highlights 108
Chapter 2 Review 113
Chapter 2 Test 115
Chapter 2 Cumulative Review 115

CHAPTER 3
GRAPHS AND FUNCTIONS 117
3.1 Graphing Equations 118
3.2 Introduction to Functions 129
3.3 Graphing Linear Functions 145
3.4 The Slope of a Line 154
3.5 Equations of Lines 166
Integrated Review-Linear Equations in Two Variables 176
3.6 Graphing Piecewise-Defined Functions and Shifting and Reflecting Graphs of Functions 177
3.7 Graphing Linear Inequalities 186
Chapter 3 Group Activity 190
Chapter3 Vocabulary Check 191
Chapter 3 Highlights 191
Chapter 3 Review 197
Chapter 3 Test 200
Chapter 3 Cumulative Review 201

CHAPTER 4
SYSTEMS OF EQUATIONS 203
4.1 Solving Systems of Linear Equations in Two Variables 204
4.2 Solving Systems of Linear Equations in Three Variables 215
4.3 Systems of Linear Equations and Problem Solving 222
Integrated Review-Systems of Linear Equations 234
4.4 Solving Systems of Equations by Matrices 235
4.5 Systems of Linear Inequalities 242
Chapter 4 Group Activity 245
Chapter 4 Vocabulary Check 246
Chapter 4 Highlights 246
Chapter 4 Review 251
Chapter 4 Test 253
Chapter 4 Cumulative Review 253

CHAPTER 5
Exponents, Polynomials and Polynomial Functions 255
5.1 Exponents and Scientific Notation 256
5.2 More Work with Exponents and Scientific Notation 265
5.3 Polynomials and Polynomial Functions 271
5.4 Multiplying Polynomials 283
5.5 The Greatest Common Factor and Factoring by Grouping 292
5.6 Factoring Trinomials 297
5.7 Factoring by Special Products 306
Integrated Review-Operations on Polynomials and Factoring Strategies 312
5.8 Solving Equations by Factoring and Problem Solving 316
Chapter 5 Group Activity 328
Chapter 5 Vocabulary Check 329
Chapter 5 Highlights 330
Chapter 5 Review 332
Chapter 5 Test 335
Chapter 5 Cumulative Review 336

CHAPTER 6
Rational Expressions 338
6.1 Rational Functions and Multiplying and Dividing Rational Expressions 339
6.2 Adding and Subtracting Rational Expressions 351
6.3 Simplifying Complex Fractions 359
6.4 Dividing Polynomials: Long Division and Synthetic Division 366
6.5 Solving Equations Containing Rational Expressions 376
Integrated Review-Expressions and Equations Containing Rationol Expressions 383
6.6 Rational Equations and Problem Solving 385
6.7 Variation and Problem Solving 393
Chapter 6 Group Activity 401
Chapter 6 Vocabulary Check 402
Chapter 6 Highlights 403
Chapter 6 Review 406
Chapter 6 Test 409
Chapter 6 Cumulative Review 410

CHAPTER 7
RATIONAL EXPONENTS, RADICAlS, AND COMPLEX NUMBERS 412
7.2 Rational Exponents 421
7.5 Rationalizing Denominators and Numerators of Radical Expressions 443
Integrated Review-Radicals and Rational Exponents 449
7.6 Radical Equations and Problem Solving 450
7.7 Complex Numbers 460
Chapter 7 Group Activity 467
Chapter 7 Vocabulary Check 468
Chapter 7 Highlights 469
Chapter 7 Review 472
Chapter 7 Test 475
Chapter 7 Cumulative Review 476

CHAPTER 8
8.1 Solving Quadratic Equations by Completing the Square 480
8.3 Solving Equations by Using Quadratic Methods 500
Integrated Review-Summary on Solving Quadratic Equations 508
8.4 Nonlinear Inequalities in One Variable 509
8.5 Quadratic Functions and Their Graphs 516
8.6 Further Graphing of Quadratic Functions 524
Chapter 8 Group Activity 531
Chapter 8 Vocabulary Check 532
Chapter 8 Highlights 533
Chapter 8 Review 536
Chapter 8 Test 537
Chapter 8 Cumulative Review 538

CHAPTER 9
EXPONENTIAL AND lOGARITHMIC fUNCTIONS 540
9.1 The Algebra of Functions; Composite Functions 541
9.2 Inverse Functions 547
9.3 Exponential Functions 557
9.4 Logarithmic Functions 565
9.5 Properties of Logarithms 573
Integrated Review-Functions and Properties of Logarithms 578
9.6 Common Logarithms, Natural Logarithms, and Change of Base 579
9.7 Exponential and Logarithmic Equations and Applications 585
Chapter 9 Group Activity 591
Chapter 9 Vocabulary Check 592
Chapter 9 Highlights 593
Chapter 9 Review 596
Chapter 9 Test 599
Chapter 9 Cumulative Review 600

CHAPTER 10
CONIC SECTIONS
10.1 The Parabola and the Circle 603
10.2 The Ellipse and the Hyperbola 612
Integrated Review-Graphing Conic Sections 619
10.3 Solving Nonlinear Systems of Equations 620
lO.4 Nonlinear Inequalities and Systems of Inequalities 625
Chapter 10 Group Activity 628
Chapter 10 Vocabulary Check 629
Chapter 10 Highlights 630
Chapter 10 Review 632
Chapter 10 Test 633
Chapter 10 Cumulative Review 634

CHAPTER 11
SEQUENCES, SERIES, AND THE BINOMIAL THEOREM 636
11.1 Sequences 637
11.2 Arithmetic and Geometric Sequences 641
11.3 Series 648
11A Partial Sums of Arithmetic and Geometric Sequences 653
11.5 The Binomial Theorem 660
Chapter 11 Group Activity 664
Chapter 11 Vocabulary Check 665
Chapter 11 Highlights 665
Chapter 11 Review 667
Chapter 11 Test 669
Chapter 11 Cumulative Review 670

APPENDICES 672
A THE BIGGER PICTURE/PRACTICE FINAL EXAM 672
B GEOMETRY 676
C STRETCHING AND COMPRESSING GRAPHS OF ABSOLUTE VALUE FUNCTIONS 683
D SOLVING SYSTEMS OF EQUATIONS USING DETERMINANTS 685
E AN INTRODUCTION TO USING A GRAPHING UTILITY 692
Index II
Photo Credits P1